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Finding the Third Proportional to 447,478 and 650,084

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Solution

The third proportional to 447,478 and 650,084 is: 944,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,478 : 650,084 = 650,084 : x
  2. Step 2: Convert to fraction form
    447,478/650,084 = 650,084/x
  3. Step 3: Cross multiply
    447,478x = 650,084 × 650,084
  4. Step 4: Simplify right side
    447,478x = 422,609,207,056
  5. Step 5: Solve for x
    x = 422,609,207,056/447,478
  6. Step 6: Final answer
    x = 944,424.55

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.